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Finding the Fourth Proportional to 2,971.76, 4,100.99 and 1,645.45

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Solution

The fourth proportional to 2,971.76, 4,100.99 and 1,645.45 is: 2,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.76 : 4,100.99 = 1,645.45 : x
  2. Step 2: Convert to fraction form
    2,971.76/4,100.99 = 1,645.45/x
  3. Step 3: Cross multiply
    2,971.76x = 4,100.99 × 1,645.45
  4. Step 4: Simplify right side
    2,971.76x = 6,747,955.52
  5. Step 5: Solve for x
    x = 6,747,955.52/2,971.76
  6. Step 6: Final answer
    x = 2,270.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.